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Finding the Fourth Proportional to 3,709.67, 5,565.45 and 2,616.17

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Solution

The fourth proportional to 3,709.67, 5,565.45 and 2,616.17 is: 3,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.67 : 5,565.45 = 2,616.17 : x
  2. Step 2: Convert to fraction form
    3,709.67/5,565.45 = 2,616.17/x
  3. Step 3: Cross multiply
    3,709.67x = 5,565.45 × 2,616.17
  4. Step 4: Simplify right side
    3,709.67x = 14,560,135.50
  5. Step 5: Solve for x
    x = 14,560,135.50/3,709.67
  6. Step 6: Final answer
    x = 3,924.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.